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Finding the Fourth Proportional to 258,642.78, 356,923.53 and 145,465.53

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Solution

The fourth proportional to 258,642.78, 356,923.53 and 145,465.53 is: 200,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,642.78 : 356,923.53 = 145,465.53 : x
  2. Step 2: Convert to fraction form
    258,642.78/356,923.53 = 145,465.53/x
  3. Step 3: Cross multiply
    258,642.78x = 356,923.53 × 145,465.53
  4. Step 4: Simplify right side
    258,642.78x = 51,920,070,460.92
  5. Step 5: Solve for x
    x = 51,920,070,460.92/258,642.78
  6. Step 6: Final answer
    x = 200,740.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.